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Finding the Fourth Proportional to 6,293.09, 9,434.17 and 3,690.56

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Solution

The fourth proportional to 6,293.09, 9,434.17 and 3,690.56 is: 5,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,293.09 : 9,434.17 = 3,690.56 : x
  2. Step 2: Convert to fraction form
    6,293.09/9,434.17 = 3,690.56/x
  3. Step 3: Cross multiply
    6,293.09x = 9,434.17 × 3,690.56
  4. Step 4: Simplify right side
    6,293.09x = 34,817,398.63
  5. Step 5: Solve for x
    x = 34,817,398.63/6,293.09
  6. Step 6: Final answer
    x = 5,532.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.